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Limit cycles in generalized Liénard systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Yu, Pinneng Han, Maoan |
| Copyright Year | 2006 |
| Abstract | Abstract This paper presents some new results which we obtained recently for the study of limit cycles of nonlinear dynamical systems. Particular attention is given to small limit cycles of generalized Lienard systems in the vicinity of the origin. New results for a number of cases of the Lienard systems are presented with the Hilbert number, H ^ ( i , j ) = H ^ ( j , i ) , for j = 4, i = 10, 11, 12, 13; j = 5, i = 6, 7, 8, 9; and j = 6, i = 5, 6. Detailed proofs for the existence of limit cycles are given in four cases. |
| Starting Page | 1048 |
| Ending Page | 1068 |
| Page Count | 21 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.chaos.2005.09.008 |
| Volume Number | 30 |
| Alternate Webpage(s) | http://pyu1.apmaths.uwo.ca/~pyu/pub/preprints/YH_CSF2006.pdf |
| Alternate Webpage(s) | http://publish.uwo.ca/~pyu/pub/preprints/YH_CSF2006.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.chaos.2005.09.008 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
